Factorize a2x – b2y – b2x + a2y
- (a - b)(x + y)
- (y - x)(a - b)(a + b)
- (x - y)(a - b)(a + b)
-
(x + y)(a - b)(a + b)
The correct answer is: D
Explanation
a2x - b2y - b2x + a2y = a2x - b2x - b2y + a2y Rearrange
= x(a2 - b2) + y(a2 - b2)
= (x + y)(a2 - b2)
= (x + y)(a + b)(a - b)